456181605261 has 6 divisors (see below), whose sum is σ = 658928985390. Its totient is φ = 304121070168.

The previous prime is 456181605233. The next prime is 456181605281. The reversal of 456181605261 is 162506181654.

456181605261 is a `hidden beast` number, since 4 + 5 + 6 + 18 + 1 + 605 + 26 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 397380205161 + 58801400100 = 630381^2 + 242490^2 .

It is not a de Polignac number, because 456181605261 - 2¹⁰ = 456181604237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456181605281) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25343422506 + ... + 25343422523.

It is an arithmetic number, because the mean of its divisors is an integer number (109821497565).

Almost surely, 2^456181605261 is an apocalyptic number.

It is an amenable number.

456181605261 is a deficient number, since it is larger than the sum of its proper divisors (202747380129).

456181605261 is a wasteful number, since it uses less digits than its factorization.

456181605261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50686845035 (or 50686845032 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 456181605261 in words is "four hundred fifty-six billion, one hundred eighty-one million, six hundred five thousand, two hundred sixty-one".